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Multiply the single term $\sin\left(x\right)$ by each term of the polynomial $\left(\sec\left(x\right)+\csc\left(x\right)\right)$
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$\sec\left(x\right)\sin\left(x\right)+\csc\left(x\right)\sin\left(x\right)$
Learn how to solve simplify trigonometric expressions problems step by step online. Expand and simplify the trigonometric expression sin(x)(sec(x)+csc(x)). Multiply the single term \sin\left(x\right) by each term of the polynomial \left(\sec\left(x\right)+\csc\left(x\right)\right). Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying the fraction by \sin\left(x\right). Simplify the fraction \frac{\sin\left(x\right)}{\sin\left(x\right)} by \sin\left(x\right).